Why are you drawing something going downwards? If W was lower than A and C, they would both go to W.
Do you know the definition of activation energy?
I made that curve going downwards because I thought that the reverse reaction should be completely opposite to the forward reaction. The reagents need to have their bonds broken, receiving energy, and the products must have their bonds attached, releasing energy. But indeed now I see it doesn't make much sense. To undo it, the products need to receive energy, so the curve should be upwards.
I learnt that activation energy is the energy needed to start a reaction. So it is the vertix of the enthalpy curve minus the starting point. According to this idea, the activation energy of C --> A should be the vertix of the curve (z) minus the starting point (x)? What confused me is that there are two vertices.
Suppose this was a relief map and you were proposing to walk from A to C (or C to A) over the mountains.
How high would you have to climb starting from A? Starting from C?
Well, I'm currently terrible at Geography
but A is on "y", and C is on "x", so perhaps the distance should be the absolute value of (y - x)? Still, that would be the energy needed for C to gain to become A again, and not the activation energy, right?
But if it were the activation energy, then wouldn't that proposition be correct? It says "the activation energy of the direct reaction is given by z - y, while the activation energy of the inverse reaction is y - x". Since the correct option is (C), then something in this proposition must be wrong.